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Point F is on circle C.

What is the length of line segment GF?
12.5 units
15.0 units
17.5 units
20.0 units

Respuesta :

CollinStanley
We know that :  GF = GC + CF.Also, CF is a radius. So CF = 7.5 unitsTo find GC we will use the Pythagorean theorem.GC² = 10² + 7.5²GC² = 100 + 56.25GC² = 156.25GC = √ 156.25GC = 12.5GF = 12.5 + 7.5 = 20Answer:  d. 20 units.
iluvvictorious06

Answer:

20.0 units

Step-by-step explanation:

Line segment CF is congruent to CE, so CF also equals 7.5

Use the pythagoran theorem  to find the measure of GC

[tex]GC^2=10^{\left(2\right)}+7.5^{\left(2\right)}\\GC^2=100+7.5^2\\GC^2=100+56.25\\GC^2=156.25\\\sqrt{156.25} \\GC=12.5[/tex]

Now that  we know GC has a measure of 12.5, we can add it with CF

12.5+7.5= 20.0

Therefore The Answer Is D.)20.0

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